A boundary value problem for Beltrami differential equation

• Autorzy: Keiichi Shibata
• Języki publikacji: EN

Abstrakty

EN

Solutions to Beltrami differential equation with prescribed boundary correspondence in some plane domains are given.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 29-34

Daty

wydano

1996

Twórcy

autor

Keiichi Shibata

• Department of Mathematics, Okayama University of Science, 1-1 Ridai-cho Okayama, 700, Japan

Bibliografia

• [1] L.V. Ahlfors, Conformality with respect to Riemannian metrics, Ann. Acad. Sci. Fenn. A I 206 (1955), 1-22.
• [2] L.V. Ahlfors, Lectures on quasiconformal mappings, Van Nostrand, Princeton, Toronto, New York, London 1966.
• [3] M. Gerstenhaber and H.E. Rauch, On quasiconformal mappings I, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 808-812.
• [4] M. D. Pompeiu, Sur une classe de fonctions d'une variable complexe et certaines équations intégrales, Rend. Circ. Mat. Palermo 35 (1913), 277-281.
• [5] L. Schwartz, Théorie des distributions, tome I, Hermann, Paris 1950.